Finite Group Databasebeta

← Group #13178313

Character table — Group #13178313

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order12223334466666666633333446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212222244444444446666444444121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11-1-11-111-1-1-1-111-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-11-11
χ511111111111111111111111-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ611111111111111111111111-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-111-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ711111111111111111111111-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-111-1111-1-11111-1-1-1-111-11-11
χ811111111111111111111111-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-111-1-1-11111-1-111-1-1111-11-1
χ91111111-1-1111111111111111-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ101111111-1-1111111111111111-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ111111111-1-1111111111111111-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-11-11-1111-1-111-1-11111-1-11-1-11
χ121111111-1-1111111111111111-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1111111-1-111-1-1-111-1
χ131111111-1-111111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1111111111-1-1-1-1-1-1-1-1-1-111
χ141111111-1-111111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ151111111-1-111111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11-11-11-111-1-1-1-1-1-1111111-111-1
χ161111111-1-111111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-11-1-111-1-111-1-111111-1-11
χ17222222-122-122-12222-12-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122220000220000-1-1-1-12002000000-1-10000-1-1-1-10000
χ18222222-122-122-12222-12-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-200001111-200-200000011000011110000
χ19222222-122-122-12222-12-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-1112222-1-111-2-2-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-21111111122220000220000-1-1-1-1-200-2000000110000-1-1110000
χ20222222-122-122-12222-12-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-1112222-1-111-2-2-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-2-2-20000-2-2000011112002000000-1-1000011-1-10000
χ21222222-1-2-2-122-12222-12-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-111-2-2-2-211-1-122-2-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-122220000-2-20000-1-1-1-1200-200000011000011-1-10000
χ22222222-1-2-2-122-12222-12-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-111-2-2-2-211-1-122-2-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-200002200001111-2002000000-1-10000-1-1110000
χ23222222-1-2-2-122-12222-12-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-1-1-2-2-2-21111-2-22222-1-1-1-1-1-1-1-1-2-211111111-2-21111111122220000-2-20000-1-1-1-1-2002000000-1-1000011110000
χ24222222-1-2-2-122-12222-12-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-1-1-2-2-2-21111-2-22222-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-2-2-200002200001111200-2000000110000-1-1-1-10000
χ2522222-122222-122-12-12-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-12222-1-122222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000022000022000000200200-1-10000-1-100000-10-1
χ2622222-122222-122-12-12-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-12222-1-122222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000-2-20000-2-2000000-200-2001100001100000101
χ2722222-122222-122-12-12-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-1-2-222-1-122-2-2-21-2111-2-2111111-1-122-1-1-1-1-1-111-2-211111100000022000022000000-200-200-1-10000-1-100000101
χ2822222-122222-122-12-12-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-1-2-222-1-122-2-2-21-2111-2-2111111-1-122-1-1-1-1-1-111-2-2111111000000-2-20000-2-20000002002001100001100000-10-1
χ2922222-12-2-222-122-12-12-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-211-2-2222-1-2111-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000220000-2-2000000200-200-1-100001100000-101
χ3022222-12-2-222-122-12-12-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-211-2-2222-1-2111-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000-2-2000022000000-200200110000-1-10000010-1
χ3122222-12-2-222-122-12-12-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-122-2-211-2-2-2-2-212-1-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000220000-2-2000000-200200-1-10000110000010-1
χ3222222-12-2-222-122-12-12-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-122-2-211-2-2-2-2-212-1-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000-2-2000022000000200-200110000-1-100000-101
χ332222-122222-122-12-122-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-122-1-1222222-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000022000022000000020020-1-10000-1-1000000-10-10
χ342222-122222-122-12-122-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-122-1-1222222-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-20000-2-20000000-200-20110000110000001010
χ352222-122222-122-12-122-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1-2-2-1-12222-2-21-21-21111-2-21111-1-1-1-122-1-1-1-11111-2-211110000220000220000000-200-20-1-10000-1-10000001010
χ362222-122222-122-12-122-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1-2-2-1-12222-2-21-21-21111-2-21111-1-1-1-122-1-1-1-11111-2-211110000-2-20000-2-200000002002011000011000000-10-10
χ372222-122-2-22-122-12-122-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-1-2-211-2-2-2-222-121-21111-2-211111111-2-21111-1-1-1-122-1-1-1-10000220000-2-20000000200-20-1-1000011000000-1010
χ382222-122-2-22-122-12-122-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-1-2-211-2-2-2-222-121-21111-2-211111111-2-21111-1-1-1-122-1-1-1-10000-2-20000220000000-20020110000-1-100000010-10
χ392222-122-2-22-122-12-122-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-12211-2-2-2-2-2-21-2-12-1-1-1-122-1-1-1-11111-2-211111111-2-211110000220000-2-20000000-20020-1-100001100000010-10
χ402222-122-2-22-122-12-122-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-12211-2-2-2-2-2-21-2-12-1-1-1-122-1-1-1-11111-2-211111111-2-211110000-2-20000220000000200-20110000-1-1000000-1010
χ4122-2-222200222-2-2-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022-2-22-22-200000022-2-20000002-22-200000000000000
χ4222-2-222200222-2-2-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022-2-2-22-2200000022-2-2000000-22-2200000000000000
χ4322-2-222200222-2-2-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-2222-2-22000000-2-2220000002-2-2200000000000000
χ4422-2-222200222-2-2-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-222-222-2000000-2-222000000-222-200000000000000
χ452-22-222200-2-2-2-222-2-222222200-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000000000000000002-22-20000002i−2i2i−2i2-22-20000000000002i−2i2i−2i00000000
χ462-22-222200-2-2-2-222-2-222222200-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000000000000000002-22-2000000−2i2i−2i2i2-22-2000000000000−2i2i−2i2i00000000
χ472-22-222200-2-2-2-222-2-222222200-2-2-2-2-2-2-2-2-2-22222200000000000000000000000000000000000000000000-22-220000002i−2i−2i2i-22-220000000000002i−2i−2i2i00000000
χ482-22-222200-2-2-2-222-2-222222200-2-2-2-2-2-2-2-2-2-22222200000000000000000000000000000000000000000000-22-22000000−2i2i2i−2i-22-22000000000000−2i2i2i−2i00000000
χ492-2-222222i−2i-2-2-22-2-222-22222200-2-2-2-2-222222-2-2-2-2-2002i−2i2i−2i2i−2i00000000000000002i−2i2i−2i2i−2i2i2i−2i−2i00000000002-2-2200002i−2i00002-2-2200000000000000002i−2i000000
χ502-2-222222i−2i-2-2-22-2-222-22222200-2-2-2-2-222222-2-2-2-2-2002i−2i2i−2i2i−2i00000000000000002i−2i2i−2i2i−2i2i2i−2i−2i0000000000-222-20000−2i2i0000-222-20000000000000000−2i2i000000
χ512-2-22222−2i2i-2-2-22-2-222-22222200-2-2-2-2-222222-2-2-2-2-200−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i−2i2i−2i−2i2i2i00000000002-2-220000−2i2i00002-2-220000000000000000−2i2i000000
χ522-2-22222−2i2i-2-2-22-2-222-22222200-2-2-2-2-222222-2-2-2-2-200−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000-222-200002i−2i0000-222-200000000000000002i−2i000000
χ532-2-2222-12i−2i1-2-2-1-2-22212-1-1-1-100-211112-1-1-1-1-21111−i3i32i−2i2i−2i−ii3−3000000−i3i3−i3i3−i3−i3i3i32i−2i−ii−ii−i−iii003−33−333−3−32-2-2200002i−2i0000-111-10000000000−i3i30000−ii3−30000
χ542-2-2222-12i−2i1-2-2-1-2-22212-1-1-1-100-211112-1-1-1-1-21111−i3i32i−2i2i−2i−ii3−3000000−i3i3−i3i3−i3−i3i3i32i−2i−ii−ii−i−iii003−33−333−3−3-222-20000−2i2i00001-1-110000000000i3−i30000i−i−330000
χ552-2-2222-12i−2i1-2-2-1-2-22212-1-1-1-100-211112-1-1-1-1-21111i3−i32i−2i2i−2i−ii−33000000i3−i3i3−i3i3i3−i3−i32i−2i−ii−ii−i−iii00−33−33−3−3332-2-2200002i−2i0000-111-10000000000i3−i30000−ii−330000
χ562-2-2222-12i−2i1-2-2-1-2-22212-1-1-1-100-211112-1-1-1-1-21111i3−i32i−2i2i−2i−ii−33000000i3−i3i3−i3i3i3−i3−i32i−2i−ii−ii−i−iii00−33−33−3−333-222-20000−2i2i00001-1-110000000000−i3i30000i−i3−30000
χ572-2-2222-1−2i2i1-2-2-1-2-22212-1-1-1-100-211112-1-1-1-1-21111−i3i3−2i2i−2i2ii−i−33000000−i3i3−i3i3−i3−i3i3i3−2i2ii−ii−iii−i−i00−33−33−3−3332-2-220000−2i2i0000-111-10000000000−i3i30000i−i−330000
χ582-2-2222-1−2i2i1-2-2-1-2-22212-1-1-1-100-211112-1-1-1-1-21111−i3i3−2i2i−2i2ii−i−33000000−i3i3−i3i3−i3−i3i3i3−2i2ii−ii−iii−i−i00−33−33−3−333-222-200002i−2i00001-1-110000000000i3−i30000−ii3−30000
χ592-2-2222-1−2i2i1-2-2-1-2-22212-1-1-1-100-211112-1-1-1-1-21111i3−i3−2i2i−2i2ii−i3−3000000i3−i3i3−i3i3i3−i3−i3−2i2ii−ii−iii−i−i003−33−333−3−32-2-220000−2i2i0000-111-10000000000i3−i30000i−i3−30000
χ602-2-2222-1−2i2i1-2-2-1-2-22212-1-1-1-100-211112-1-1-1-1-21111i3−i3−2i2i−2i2ii−i3−3000000i3−i3i3−i3i3i3−i3−i3−2i2ii−ii−iii−i−i003−33−333−3−3-222-200002i−2i00001-1-110000000000−i3i30000−ii−330000
χ6144444-2-244-24-2-24-24-2-2-2-211144-2-2111-2-2111-2-2111-2-244-2-2-2-2-2-24-24-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ6244444-2-244-24-2-24-24-2-2-2-2111-4-4-2-2111-2-2111-2-21112244-2-2-2-222-42-422222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6344444-2-2-4-4-24-2-24-24-2-2-2-21114-4-2-2111-2-2111-2-211122-4-42222-2-24-2-422222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
χ6444444-2-2-4-4-24-2-24-24-2-2-2-2111-44-2-2111-2-2111-2-2111-2-2-4-4222222-424-2-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ654444-24-244-2-24-2-24-24-2-21-21144-21-211-21-211-21-211-2-2-2-244-2-2-2-2-24-24-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ664444-24-244-2-24-2-24-24-2-21-211-4-4-21-211-21-211-21-21122-2-244-2-2222-42-422-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ674444-24-2-4-4-2-24-2-24-24-2-21-2114-4-21-211-21-211-21-2112222-4-422-2-2-242-422-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000000
χ684444-24-2-4-4-2-24-2-24-24-2-21-211-44-21-211-21-211-21-211-2-222-4-422222-4-24-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ694444-2-24444-2-24-2-2-2-241-2-211441-2-2111-2-2111-2-21144-2-2-2-24444-2-2-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ704444-2-24444-2-24-2-2-2-241-2-211-4-41-2-2111-2-2111-2-211-4-4-2-2-2-244-4-42222-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000000
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χ724444-2-24-4-44-2-24-2-2-2-241-2-211-441-2-2111-2-2111-2-211442222-4-4-4-422-2-211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
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χ754444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ764444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i3222-2-2-2-2-2-2222222-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ774444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i3222222222-2-2-2-222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ784444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-22222222222-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ794444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i324-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i3222222222-2-2-2-222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ804444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-44111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-22222222222-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ8144-4-444-200-2442-4-4-4-424-2-2-2-2004-2-2-2-2-42222-422220000000000000000000000000000000000000000000044-4-40000000000-2-222000000000000000000000000
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χ954-4-444-2-24i−4i2-42-2-424-22-2-21110022-1-1-1-2-211122-1-1-1−2i32i34i−4i−2i2i−2i2i23−23000000−2i32i3i3−i3i3i3−i3−i3−2i2i−2i2ii−iii−i−i0023−23−33−3−333000000000000000000000000000000000000000000
χ964-4-444-2-24i−4i2-42-2-424-22-2-21110022-1-1-1-2-211122-1-1-12i3−2i34i−4i−2i2i−2i2i−23230000002i3−2i3−i3i3−i3−i3i3i3−2i2i−2i2ii−iii−i−i00−23233−333−3−3000000000000000000000000000000000000000000
χ974-4-444-2-2−4i4i2-42-2-424-22-2-21110022-1-1-1-2-211122-1-1-1−2i32i3−4i4i2i−2i2i−2i−2323000000−2i32i3i3−i3i3i3−i3−i32i−2i2i−2i−ii−i−iii00−23233−333−3−3000000000000000000000000000000000000000000
χ984-4-444-2-2−4i4i2-42-2-424-22-2-21110022-1-1-1-2-211122-1-1-12i3−2i3−4i4i2i−2i2i−2i23−230000002i3−2i3−i3i3−i3−i3i3i32i−2i2i−2i−ii−i−iii0023−23−33−3−333000000000000000000000000000000000000000000
χ994-4-44-2444i−4i-42-442-4-24-4-2-24-2-20022-422-2-24-2-222-42200−2i2i4i−4i4i−4i0000000000000000−2i2i−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ1004-4-44-244−4i4i-42-442-4-24-4-2-24-2-20022-422-2-24-2-222-422002i−2i−4i4i−4i4i00000000000000002i−2i2i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
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χ1034-4-44-24-2−4i4i22-4-22-4-242-21-211002-12-1-1-21-2112-12-1-1−2i32i32i−2i−4i4i2i−2i−2323000000i3−i3−2i32i3i3i3−i3−i32i−2i−ii2i−2i−i−iii003−3−232333−3−3000000000000000000000000000000000000000000
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χ1054-4-44-2-244i−4i-422422-2-2-41-2-21100-122-1-11-2-211-122-1-100−2i2i−2i2i4i−4i0000003-300003-3-33i−i−2i2i−2i2iii−i−i3i−3i00003i−3i−3i3i000000000000000000000000000000000000000000
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χ1094-4-44-2-2-24i−4i222-222-2-22111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32−2i32i3−2i2i−2i2i−2i2i23−2300003-3i3−i3i3−i3−3−i323−i323+i32−3+i32i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ1104-4-44-2-2-24i−4i222-222-2-22111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322i3−2i3−2i2i−2i2i−2i2i−23230000-33−i3i3−i3i33+i32−3+i32−3−i323−i32i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ1114-4-44-2-2-24i−4i222-222-2-22111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32−2i32i3−2i2i−2i2i−2i2i23−230000-33i3−i3i3−i33−i32−3−i32−3+i323+i32i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ1124-4-44-2-2-24i−4i222-222-2-22111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322i3−2i3−2i2i−2i2i−2i2i−232300003-3−i3i3−i3i3−3+i323+i323−i32−3−i32i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ1134-4-44-2-2-2−4i4i222-222-2-22111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32−2i32i32i−2i2i−2i2i−2i−232300003-3i3−i3i3−i3−3−i323−i323+i32−3+i32−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ1144-4-44-2-2-2−4i4i222-222-2-22111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322i3−2i32i−2i2i−2i2i−2i23−230000-33−i3i3−i3i33+i32−3+i32−3−i323−i32−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ1154-4-44-2-2-2−4i4i222-222-2-22111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32−2i32i32i−2i2i−2i2i−2i−23230000-33i3−i3i3−i33−i32−3−i32−3+i323+i32−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ1164-4-44-2-2-2−4i4i222-222-2-22111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322i3−2i32i−2i2i−2i2i−2i23−2300003-3−i3i3−i3i3−3+i323+i323−i32−3−i32−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
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χ1268-88-8-4-4-4004444-4-444-4222−1+3i3−1−3i300-2-2-21−3i31+3i3-2-2-21−3i31+3i3222−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.